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kherson [118]
3 years ago
5

What is the measure of ∠T, rounded to the nearest degree?

Mathematics
2 answers:
Andre45 [30]3 years ago
8 0

In this question, we use law of cosine which is

RS^2 = RT^2 + ST^2 -2(RT)(ST) cos T

Substituting the given values of RS,RT, ST , we will get

3^2 = 5^2 + 7^2 -2(5)(7) cos T \\ 9 = 25 +49 - 70 cos T

cos T = \frac{65}{70}

Taking inverse cosine on both sides

T = cos^{-1} ( \frac{65}{70})

T = 22


riadik2000 [5.3K]3 years ago
3 0
Cosine theorem
3²=5²+7²-2*5*7*cosT
9=25+49-70*cosT
9-74=-70 *cos T
-65/(-70)= cos T
T = arccos (65/70)≈22°

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A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx
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Answer:  D.  y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)  

x intercept: (1,0)

y coordinates difference:  4 - 0 = 4

x coordinates difference:  0 - 1 = - 1  

Slope:  4/-1 =  -4  

Since the slope is -4 and the the y intercept is 4 , the equation will be

 y = -4x + 4

7 0
3 years ago
Write a function to describe the following scenario.
Tanya [424]

Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Step-by-step explanation:

A Taxi driver charges a flat rate = 7.25 dollars

taxi fare for 1 mile = 0.65 dollars

Suppose we consider Total money taxi driver can spend = 10 dollars

Let taxi driver travel x miles

Total charges = flat rate charge + taxi fare for each mile(distance) travelled

Find the value y = [?] + [?]x

suppose these two question marks indicate z1,z2

replace with y=10 and z1=1.75 and z2=0.65 values

Then y = [z1] + [z2]x

10 = 1.75 + 0.65(x)

0.65(x) = 10 - 1.75

0.65(x)= 8.25

x = 8.25/0.65

x = 12.7 miles

If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Learn about more information https://brainly.in/question/33655852

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2 years ago
With $ 1,000 debt on your credit card at 2% simple interest each month, what will you pay that year?
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3 years ago
What is the Improper Fraction for this number??? 1 3/4
ohaa [14]

Answer:

7/4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 80 mo
Flauer [41]

Answer:

25, 50, and 105.

Step-by-step explanation:

Let the first angle be A, the second angle be B, and the third angle be C.

First, the sum of the three angles in a triangle is 180. Thus:

A+B+C=180

We know that the measure of A is twice the measure of B. Thus:

A=2B

And the measure of C is 80 more than the measure of B. So:

C=80+B

Let's substitute A and C into the original equation:

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Now, let's solve for the second angle (B). Combine like terms:

4B+80=180

Subtract 80 from both sides:

4B=100

Divide both sides by 4:

B=25

So, the second angle is 25 degrees.

This means that the first angle is 2(25) or 50 degrees.

And the third angle is 80+25 or 105 degrees.

And we're done!

The angles are 25, 50, and 105.

8 0
3 years ago
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